Part of the Physical Sciences and Mathematics Commons

Works by Cecile M. Piret in Physical Sciences and Mathematics

2022

A Radial Basis Function-Finite Difference and Parareal Framework for Solving Time Dependent Partial Differential Equations, Nadun Dissanayake Kulasekera Mudiyanselage, Jacob James Blazejewski, Benjamin Ong, Cecile M. Piret
Michigan Tech Publications

2020

The Radial Basis Functions Method for Improved Numerical Approximations of Geological Processes in Heterogeneous Systems, Cecile M. Piret, Neluka Dissanayake, John S. Gierke, Bengt Fornberg
Michigan Tech Publications

Complex variables and analytic functions: an illustrated introduction, Bengt Fornberg, Cecile M. Piret
Michigan Tech Publications

2019

The radical basis functions method for improved numerical approximations of geological processes in heterogeneous systems, Cecile M. Piret, Neluka Dissanayake, John S. Gierke, Bengt Fornberg
Michigan Tech Publications

Numerical solution of space-time fractional PDEs using RBF-QR and Chebyshev polynomials, Sushil Kumar, Cecile M. Piret
Department of Mathematical Sciences Publications

A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces, A. Petras, L. Ling, Cecile M. Piret, S. J. Ruuth
Michigan Tech Publications

2018

Fast RBF OGr for solving PDEs on arbitrary surfaces, Cecile M. Piret, Jarrett Dunn
Cecile M Piret

Itinéraire d’un sociologue global, Sébastien Antoine, Cecile M. Piret, François Rinschbergh
Michigan Tech Publications

2017

A Radial basis function based frames strategy for bypassing the Runge phenomenon, Cecile M. Piret
Cecile M Piret

3D printing for mathematics education, Cecile M. Piret
TechTalks

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2016

Fast RBF OGr for solving PDEs on arbitrary surfaces, Cecile M. Piret, Jarrett Dunn
Department of Mathematical Sciences Publications

A Radial basis function based frames strategy for bypassing the Runge phenomenon, Cecile M. Piret
Department of Mathematical Sciences Publications

2015

An RBF-based frames strategy for bypassing the Runge phenomenon, Cecile M. Piret
Cecile M Piret

2013

A new radial basis functions (RBF)-based frame method to bypass the Runge phenomenon, Cecile M. Piret
Cecile M Piret

A Novel Radial Basis Functions Method for Solving Fractional Diffusion Equations, Cecile M. Piret
Cecile M Piret

A Radial Basis Functions method for fractional diffusion equations, Cecile M. Piret, Emmanuel Hanert
Cecile M Piret

2012

The orthogonal gradients method: A radial basis functions method for solving partial differential equations on arbitrary surfaces, Cecile M. Piret
Cecile M Piret

Numerical solution of the space-time fractional diffusion equation: Alternatives to finite differences, Cecile M. Piret, Emmanuel Hanert
Cecile M Piret

2011

Mesh and CAD repair based on parametrizations with radial basis functions, Cecile M. Piret, Jean-François Remacle, Emilie Marchandise
Cecile M Piret

2010

Modeling of tsunami waves and atmospheric swirling flows with graphics processing unit (GPU) and radial basis functions (RBF), Jessica Schmidt, Cecile M. Piret, Nan Zhang, Benjamin J. Kadlec, David A. Yuen, Yingchun Liu, Barrett Wright, Erik O. D. Sevre
Cecile M Piret

2008

On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere, Cecile M. Piret, Bengt Fornberg
Cecile M Piret

2007

A stable algorithm for flat radial basis functions on a sphere, Bengt Fornberg, Cecile M. Piret
Cecile M Piret

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Locality properties of radial basis function expansion coefficients for equispaced interpolation, Bengt Fornberg, Natasha Flyer, Susan Hovde, Cecile M. Piret
Cecile M Piret